Home / 1,822.44-2,732.58-727.32

Finding the Fourth Proportional to 1,822.44, 2,732.58 and 727.32

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Solution

The fourth proportional to 1,822.44, 2,732.58 and 727.32 is: 1,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.44 : 2,732.58 = 727.32 : x
  2. Step 2: Convert to fraction form
    1,822.44/2,732.58 = 727.32/x
  3. Step 3: Cross multiply
    1,822.44x = 2,732.58 × 727.32
  4. Step 4: Simplify right side
    1,822.44x = 1,987,460.09
  5. Step 5: Solve for x
    x = 1,987,460.09/1,822.44
  6. Step 6: Final answer
    x = 1,090.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.